A rectangular recreational field needs to be built outside of a gymnasium. Three walls of fencing are needed and
the fourth wall is to be a wall of the gymnasium itself. The ideal area for such a field is exactly 250000ft². In order
to minimize costs, it is necessary to construct the fencing using the least amount of material possible. Assuming
that the material used in the fencing costs $48/ft, what is the least amount of money needed to build this fence of
ideal area? Round your answer to the nearest two decimal places.